Find the length, branadth, and height of a hall is 3675 cm, 2100 cm, and 1050 cm respectively. Find the longest length of a tape which can measure the length, breadth, and height of the hall ?
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To find the length of the longest tape which can measure the three dimensions of the room, we need to find the H.C.F of length, breadth and height of the room, i.e. 825, 675 and 450 cms respectively.
Let us factorise all three given dimensions.
825 = 3×5×5×11
675=3×3×3×5×5
450=2×3×3×5×5
Hence, 3, 5 and 5 are the common prime factors here.
So, H.C.F =3×5×5=75
Therefore, we need 75 cm longest tape to measure the three dimensions of the room.
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